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Finding the Fourth Proportional to 3,474.72, 4,795.14 and 1,902.78

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Solution

The fourth proportional to 3,474.72, 4,795.14 and 1,902.78 is: 2,625.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,474.72 : 4,795.14 = 1,902.78 : x
  2. Step 2: Convert to fraction form
    3,474.72/4,795.14 = 1,902.78/x
  3. Step 3: Cross multiply
    3,474.72x = 4,795.14 × 1,902.78
  4. Step 4: Simplify right side
    3,474.72x = 9,124,096.49
  5. Step 5: Solve for x
    x = 9,124,096.49/3,474.72
  6. Step 6: Final answer
    x = 2,625.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.